
from __future__ import annotations

from typing import Any




class 					lowerCamelCase__				:




	'''simple docstring'''




	def __init__(   self						:Optional[int]	,  a						:int = 6		)						->					None:
								__UpperCamelCase      :  Node | None       =   None
								__UpperCamelCase      :  Node | None       =   None
								self.create_linked_list(a		)







	def   _lowerCamelCase							(   self						:int	,  a						:int		)						->					None:
								__UpperCamelCase      :  Optional[Any]       =   Node()
								__UpperCamelCase      :  Any       =   current_node
								__UpperCamelCase      :  List[str]       =   current_node
								__UpperCamelCase      :  Tuple       =   current_node
								for _ in range(1	,  a		):
															__UpperCamelCase      :  Optional[int]       =   Node()
															__UpperCamelCase      :  Optional[int]       =   current_node
															__UpperCamelCase      :  Optional[int]       =   previous_node
															__UpperCamelCase      :  Tuple       =   current_node
								__UpperCamelCase      :  Tuple       =   self.front
								__UpperCamelCase      :  str       =   previous_node







	def   _lowerCamelCase							(   self						:str		)						->					bool:
								return (
								    self.front == self.rear
								    and self.front is not None
								    and self.front.data is None
								)







	def   _lowerCamelCase							(   self						:str		)						->					Any | None:
								self.check_can_perform_operation()
								return self.front.data if self.front else None







	def   _lowerCamelCase							(   self						:List[Any]	,  a						:Any		)						->					None:
								if self.rear is None:
															return

								self.check_is_full()
								if not self.is_empty():
															__UpperCamelCase      :  Optional[int]       =   self.rear.next
								if self.rear:
															__UpperCamelCase      :  Union[str, Any]       =   data







	def   _lowerCamelCase							(   self						:int		)						->					Any:
								self.check_can_perform_operation()
								if self.rear is None or self.front is None:
															return None
								if self.front == self.rear:
															__UpperCamelCase      :  List[str]       =   self.front.data
															__UpperCamelCase      :  Dict       =   None
															return data

								__UpperCamelCase      :  Dict       =   self.front
								__UpperCamelCase      :  Tuple       =   old_front.next
								__UpperCamelCase      :  Optional[int]       =   old_front.data
								__UpperCamelCase      :  str       =   None
								return data







	def   _lowerCamelCase							(   self						:int		)						->					None:
								if self.is_empty():
															raise Exception("Empty Queue"		)







	def   _lowerCamelCase							(   self						:int		)						->					None:
								if self.rear and self.rear.next == self.front:
															raise Exception("Full Queue"		)




class 					lowerCamelCase__				:




	'''simple docstring'''




	def __init__(   self						:List[Any]		)						->					None:
								__UpperCamelCase      :  Any | None       =   None
								__UpperCamelCase      :  Node | None       =   None
								__UpperCamelCase      :  Node | None       =   None


if __name__ == "__main__":
		import doctest

		doctest.testmod()

from __future__ import annotations

from math import pi
from typing import Protocol

import matplotlib.pyplot as plt
import numpy as np




class 					lowerCamelCase__				(							__lowercase):




	'''simple docstring'''




	def   _lowerCamelCase							(   self						:Tuple	,  a						:float		)						->					float:
								return 0.0




def       _SCREAMING_SNAKE_CASE   (						_lowerCamelCase					:     np.ndarray		,    _lowerCamelCase					:     int)   ->       tuple[int | float, int | float]:






							'''simple docstring'''





							__UpperCamelCase      :  List[str]       =   min([-20, np.min(fft_results[1 : samplerate // 2 - 1])])
							__UpperCamelCase      :  Any       =   max([20, np.max(fft_results[1 : samplerate // 2 - 1])])
							return lowest, highest




def       _SCREAMING_SNAKE_CASE   (						_lowerCamelCase					:     FilterType		,    _lowerCamelCase					:     int)   ->       None:






							'''simple docstring'''





							__UpperCamelCase      :  List[str]       =   512
							__UpperCamelCase      :  List[Any]       =   [1] + [0] * (size - 1)
							__UpperCamelCase      :  List[Any]       =   [filter_type.process(_lowerCamelCase) for item in inputs]

							__UpperCamelCase      :  Optional[Any]       =   [0] * (samplerate - size)  # zero-padding
							outputs += filler
							__UpperCamelCase      :  Optional[int]       =   np.abs(np.fft.fft(_lowerCamelCase))
							__UpperCamelCase      :  Optional[int]       =   20 * np.logaa(_lowerCamelCase)

							# Frequencies on log scale from 24 to nyquist frequency
							plt.xlim(24		,    samplerate / 2 - 1)
							plt.xlabel("Frequency (Hz)")
							plt.xscale("log")

							# Display within reasonable bounds
							__UpperCamelCase      :  Optional[Any]       =   get_bounds(_lowerCamelCase		,    _lowerCamelCase)
							plt.ylim(max([-80, bounds[0]])		,    min([80, bounds[1]]))
							plt.ylabel("Gain (dB)")

							plt.plot(_lowerCamelCase)
							plt.show()




def       _SCREAMING_SNAKE_CASE   (						_lowerCamelCase					:     FilterType		,    _lowerCamelCase					:     int)   ->       None:






							'''simple docstring'''





							__UpperCamelCase      :  Any       =   512
							__UpperCamelCase      :  Dict       =   [1] + [0] * (size - 1)
							__UpperCamelCase      :  Tuple       =   [filter_type.process(_lowerCamelCase) for item in inputs]

							__UpperCamelCase      :  Dict       =   [0] * (samplerate - size)  # zero-padding
							outputs += filler
							__UpperCamelCase      :  Optional[int]       =   np.angle(np.fft.fft(_lowerCamelCase))

							# Frequencies on log scale from 24 to nyquist frequency
							plt.xlim(24		,    samplerate / 2 - 1)
							plt.xlabel("Frequency (Hz)")
							plt.xscale("log")

							plt.ylim(-2 * pi		,    2 * pi)
							plt.ylabel("Phase shift (Radians)")
							plt.plot(np.unwrap(_lowerCamelCase		,    -2 * pi))
							plt.show()